Answer :

Given:

The right triangle with base 15 and hypotenuse x.

The measure of angle between base and hypotenuse is 28 degrees.

To find:

The value of x.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

In the given triangle,

[tex]\cos 28^\circ=\dfrac{15}{x}[/tex]

[tex]x=\dfrac{15}{\cos 28^\circ}[/tex]

[tex]x=\dfrac{15}{0.8829476}[/tex]

[tex]x=16.98855[/tex]

Round the value to the nearest tenth.

[tex]x\approx 17.0[/tex]

Therefore, the value of x is 17.0 units.

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